49506652800 has 864 divisors, whose sum is σ = 201767978880. Its totient is φ = 11450880000.

The previous prime is 49506652759. The next prime is 49506652823. The reversal of 49506652800 is 825660594.

49506652800 is a `hidden beast` number, since 4 + 9 + 506 + 65 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 697276765 + ... + 697276835.

Almost surely, 2^49506652800 is an apocalyptic number.

49506652800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49506652800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100883989440).

49506652800 is an abundant number, since it is smaller than the sum of its proper divisors (152261326080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

49506652800 is a wasteful number, since it uses less digits than its factorization.

49506652800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 49506652800 in words is "forty-nine billion, five hundred six million, six hundred fifty-two thousand, eight hundred".